10385788560 has 160 divisors (see below), whose sum is σ = 38064349440. Its totient is φ = 2292025344.

The previous prime is 10385788549. The next prime is 10385788577. The reversal of 10385788560 is 6588758301.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57867 + ... + 155306.

It is an arithmetic number, because the mean of its divisors is an integer number (237902184).

Almost surely, 2^10385788560 is an apocalyptic number.

10385788560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10385788560 is an abundant number, since it is smaller than the sum of its proper divisors (27678560880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10385788560 is a wasteful number, since it uses less digits than its factorization.

10385788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213225 (or 213219 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 10385788560 in words is "ten billion, three hundred eighty-five million, seven hundred eighty-eight thousand, five hundred sixty".